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Finding the Fourth Proportional to 6,112.48, 8,434.80 and 3,628

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Solution

The fourth proportional to 6,112.48, 8,434.80 and 3,628 is: 5,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.48 : 8,434.80 = 3,628 : x
  2. Step 2: Convert to fraction form
    6,112.48/8,434.80 = 3,628/x
  3. Step 3: Cross multiply
    6,112.48x = 8,434.80 × 3,628
  4. Step 4: Simplify right side
    6,112.48x = 30,601,454.40
  5. Step 5: Solve for x
    x = 30,601,454.40/6,112.48
  6. Step 6: Final answer
    x = 5,006.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.